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Finding the Third Proportional to 15,302 and 33,052

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Solution

The third proportional to 15,302 and 33,052 is: 71,391.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,302 : 33,052 = 33,052 : x
  2. Step 2: Convert to fraction form
    15,302/33,052 = 33,052/x
  3. Step 3: Cross multiply
    15,302x = 33,052 × 33,052
  4. Step 4: Simplify right side
    15,302x = 1,092,434,704
  5. Step 5: Solve for x
    x = 1,092,434,704/15,302
  6. Step 6: Final answer
    x = 71,391.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.